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Theorem 7.10. (Classification Theorem) Let u, v E R with 0 < u < v. Consider the test sequences 1,n", n", 2ª, n!, n". Then a. 1 = 0(n") and n" # 0(1); b. nu = 0(n") and n' # 0(n"); c. n° = 0(2") and 2" # 0(nº); d. 2n = Q(n!) and n! + 0(2"); and %3D %3D

Theorem 7.10. (Classification Theorem) Let u, v E R with 0 < u < v. Consider the test sequences 1,n", n", 2ª, n!, n". Then a. 1 = 0(n") and n" # 0(1); b. nu = 0(n") and n' # 0(n"); c. n° = 0(2") and 2" # 0(nº); d. 2n = Q(n!) and n! + 0(2"); and %3D %3D

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 23E
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Theorem 7.10. (Classification Theorem) Let u, v E R with 0 < u < v. Consider the test sequences 1, n", n", 2", n!, n". Then a. 1 = 0(n") and n" + 0(1); b. n" = 0(n') and n' # 0(n"); c. nº = 0(2") and 2" # 0(n"); d. 2n = 0(n!) and n! # 0(2"); and %3D
Transcribed Image Text:Theorem 7.10. (Classification Theorem) Let u, v E R with 0 < u < v. Consider the test sequences 1, n", n", 2", n!, n". Then a. 1 = 0(n") and n" + 0(1); b. n" = 0(n') and n' # 0(n"); c. nº = 0(2") and 2" # 0(n"); d. 2n = 0(n!) and n! # 0(2"); and %3D
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